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Displaying similar documents to “Extremal plurisubharmonic functions and invariant pseudodistances”

Invariant pluricomplex Green functions

Maciej Klimek (1995)

Banach Center Publications

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The purpose of this paper is to present a concise survey of the main properties of biholomorphically invariant pluricomplex Green functions and to describe a number of new examples of such functions. A concept of pluricomplex geodesics is also discussed.

The error term in Nevanlinna's second fundamental theorem for holomorphic mappings on coverings.

Arturo Fernández Arias (2002)

RACSAM

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Se estudia el término de error en el segundo teorema fundamental para las aplicaciones holomorfas F : Y → P, donde en Y hay definida una aplicación recubridora holomorfa p : Y → C, aplicaciones consideradas por S. Lang and W. Cherry. También se obtiene el lema de la derivada logarítmica para esta clase de funciones que, en particular, contiene la clase de las funciones algebroides. Se demuestra que la estimación obtenida mejora un resultado clásico de Henrik Selberg sobre la derivada...

Cluster sets of analytic multivalued functions

S. Harbottle (1992)

Studia Mathematica

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Classical theorems about the cluster sets of holomorphic functions on the unit disc are extended to the more general setting of analytic multivalued functions, and examples are given to show that these extensions cannot be improved.